Multi-Dimensional Modal Logic: 4 (Applied Logic Series, 4) - Hardcover

Marx, Maarten; Venema, Yde

 
9780792343455: Multi-Dimensional Modal Logic: 4 (Applied Logic Series, 4)
Hardcover
ISBN 10: 079234345X ISBN 13: 9780792343455
Publisher: Springer, 1996

Synopsis

Modal Logic is a branch of logic with applications in many related disciplines such as computer science, philosophy, linguistics and artificial intelligence. Over the last twenty years, in all of these neighbouring fields, modal systems have been developed that we call multi-dimensional. (Our definition of multi-dimensionality in modal logic is a technical one: we call a modal formalism multi-dimensional if, in its intended semantics, the universe of a model consists of states that are tuples over some more basic set.)
This book treats such multi-dimensional modal logics in a uniform way, linking their mathematical theory to the research tradition in algebraic logic. We will define and discuss a number of systems in detail, focusing on such aspects as expressiveness, definability, axiomatics, decidability and interpolation. Although the book will be mathematical in spirit, we take care to give motivations from the disciplines mentioned earlier on.

"synopsis" may belong to another edition of this title.

From the Back Cover

Modal Logic is a branch of logic with applications in many related disciplines like computer science, philosophy, linguistics or artificial intelligence. Over the last twenty years, in all of these neighboring fields, modal systems have been developed that we call multi-dimensional. (Our definition of multi-dimensionality in modal logic is a technical one: we call a modal formalism multi-dimensional if in its intended semantics, the universe of a model consists of states that are tuples over some more basic set.). It is the aim of this book to treat such multi-dimensional modal logics in a uniform way, linking their mathematical theory to the research tradition in algebraic logic. We will define and discuss a number of systems in detail, focussing on such aspects as expressiveness, definability, axiomatics, decidability and interpolation. Although the book will be mathematical in spirit, we take care to give motivations from the disciplines mentioned earlier on.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
1996
Language
English
ISBN 10 
079234345X
ISBN 13 
9780792343455
Binding
Hardcover
Number of pages
252